The three common phak+29f(h:cf gu2bl ,rmqu w p-h2iuy4z2wx )tb ses of matter are

  Density is

  Substance A has a den;-sm 8)zogi.o2 /5phv khor tr/ t3riisity of $3.0 \; g/cm^{3}$ and substance B has a density of $4.0 \; g/cm^{3}$. In order to obtain equal masses of these two substances, the ratio of the volume of A to the volume of B will be equal to

  Pressure is

  Which of the following a2v,yqf2y-gs is not a unit of pressure?

  Consider three drinking glasses. All three have the same v4q 99thsulpgvlbybwn(/3j 7; td 0z 6area base, and all three 679hy4ulptsdw9gz/l0b bv(jvqn ;3 tare filled to the same depth with water. Glass A is cylindrical. Glass B is wider at the top than at the bottom, and so holds more water than A. Glass C is narrower at the top than at the bottom, and so holds less water than A. Which glass has the greatest liquid pressure at the bottom?

  What is the difference between the pressures inside and outside a tire calleerk6v*e) p6r*mw.tfp 9qq;8dble ab-d?

  When atmospheric pressure changes, what happens to the absolute pressukl)*cqkkx1g)qm+ bp7 re at the bottom of a pool? 1)qplxg7k* )mk bcq+k

  You are originally 1.0 m beneath the surface of a pool. If yif2.l zg9k38k icgeq;kq i*xt(3 pby18e6b wm ou dive to 2.0 m beneath the surface, what happens to theq iqk ;fx 83bkl*3mtg8e ziyw1.ep96i2bc( kg absolute pressure on you?

State Pascal's princempek)v4 :0wqgq1(d piple.

State Archimedes' principle.g:he /jai+uq4

  $50 \; cm^{3}$ of wood is floating on water, and $50 \; cm^{3}$ of iron is totally submerged. Which has the greater buoyant force on it?

  As a rock sinks deeper and deeper into water of constant density, what happens3*h cr: lr5 tipgpezuv5f: 70b to b*v 3fe7cr50i:5rlpg:zhp tu the buoyant force on it?

  Salt water has greater density than fresh water. A boat floatmbfj6;c5hx 3v s in both fresh water and in salt water. Where is the bu5v; fj mxbc63hoyant force greater on the boat?

  Salt water is more dense than fresh water. A ship fl 8bnz6zt3x i./bqpd e 6rm-ddh5dv0 q-oats in both fresh water and salt water. Compared to the fresh6-qz.d5i ph 0 bbqr n8dedm3tz/-6dxv water, the volume of water displaced in the salt water is

  A steel ball sinks in water bhf3h / o+pl3(3nao tbm 8crwm-;i;i;rs- wgqjut floats in a pool of mercury. Where is the buoya3n w(fl ;iw+jc h sathqm-r;-gpboi;r3m8 / 3ont force on the ball greater?

  A 10-kg piece of alumh:/j1 dfxnyf 4inum sits at the bottom of a lake, right next to a 10-kg piece o4ff1yh j/dx n:f lead. Which has the greater buoyant force on it?

  A piece of iron rests on top of a piece of wood floating in a bathtu1 y,jsohmx(j6 b. If the iron is removed f,j1ox h(jm6s yrom the wood, what happens to the water level in the tub?

  A piece of wood is floating in a bathtub. A second piece of wood si/.- w /y0zqdd4xnm rhnts on top of the first piece, and does not touch the water. If the top piece is taken off and placed in the water, wm.dr0/ qnnw4yzd / -hxhat happens to the water level in the tub?

  Water flows through a pipe. The diameter of the pipe at point B is larger ty okw3hjzzsw-/p1p, (han at poin,3wkzsp/(pjw o1h-yzt A. Where is the speed of the water greater?

  An ideal fluid flows at -c n)) lj) uc,ewsfe5n12 m/s in a horizontal pipe. If the pipe widens to twice it)c) eu,n s5wjnc )f-els original radius, what is the flow speed in the wider section?

  An ideal fluid flows at 12 m/s in a hh7xo/j(eww f yr,8r wau4-(c corizontal pipe. If the pipe narrows to half its original radius, what is the flow speed in the narrower secew/xy4a c , urf(hwj o8w(-7rction?

State Bernoulli's princip9.*hafgir 8uf2kj (hxle.

  Which one of the following is associated with the law of conservation ofoos 43g2)dqm xd14b gt energy in fluid4tb1dgdo g2xs 3qmo )4s?

  As the speed of a moving fluf-2k b;luukrt)x* wn )x dg(b0id increases, the pressure in the fluid

  Water flows through a pipe. Tly wlh o1 a,gaxe9f ve18e8 )vuzkr(07he diameter of the pipe at point B is larger than at point A. Wher w v lak7ae9 rlx,0yg81zf(8vehu)oe 1e is the water pressure greatest?

  When you blow some air abov( i3g* gubp*-bbykad(e a paper strip, the paper rises. This is because

  A sky diver falls through the air at terminal velocity. The force of a7v (obh1kbmw* ir resistance on him i( 7*bwvhb1 kmos

  Two Styrofoam balls, of radii R aj:igc8y p0qkjmf v ,e:0k/-kfnd 2R, are released simultaneously from a tall tower. Which will reach the ground f,ep:-c:00ffkyjqv/kkmi8g j irst?

  When a small spherical rock of radius r fallh (fd ;fz,nds msn,00ls through water, it experiences a drag dlfs , ns0fz(,n0d;hmforce $F=arv$, where $v$ is its velocity and $a$ is a constant proportional to the viscosity of water. From this, one can deduce that if a rock of diameter 2.0 mm falls with terminal velocity, $v$, then a rock of diameter 4.0 mm will fall with terminal velocity .

  Which has the greatest effect on the flow of fluid through a na gyj 5jfbhs45 cuy:p3/rrow pipe? That is, if you madejyypj bc5g 54 /f3s:uh a 10% change in each of the quantities below, which would cause the greatest change in the flow rate?

  Two horizontal pipes are the same length, but pipe B has twice the dia0y :s gll3 5drhb8cf/pmeter of pipe A. Water undergoes viscous flow in both pipes, subject to the same pressure difference across the lengths of the pipes. If the8yl rc:b0h/ f3lsp5g d flow rate in pipe A is Q, what is the flow rate in pipe B?

  Two horizontal pipes have the same diameter, but pipe B is twice as lli/pejy0s z u0ud:l/4 ong as pipe A. Water undergoes viscous flow in both pipes, subject to the sal y4:pjlds/zuu 0/e i0me pressure difference across the lengths of the pipes. If the flow rate in pipe B is Q, what is the flow rate in pipe A?

  When soup gets cold, it often tastes greasy. This "3,dwa9yl msd3 lw-g keh9l ccq0/sm 8.greasy" taste seems to be associated with oil spreadinlwse-sllcwa3,h dy 3g8qm9m 9cd.k/0g out all over the surface of the soup, instead of staying in little globules. To us "physikers", this is readily explained in terms of

  When a tube of diameter d is placei ttb; b-ldd.xyj2k)h+7m z+md in water, the water rises to a height h. If the diameter were half as great, how h+d-l;ydx j)mtmhbz72 .ikb t+igh would the water rise?

  Certain insects, such as the wateri, z2;4 jenjhy bug, are sufficiently lightweight that they can run on top of water without breaking the surface tension. W j2ni,zy4e;h jater bug A has weight W. Water bug B is twice as big as bug A, in all dimensions. That is, bug B is twice as long, twice as wide, etc. What is the weight of bug B?

  Certain insects, such as the water bug, are sufficiently lightweig/:6o;r)m0.uzt( e 6 b don:eaah:+ yfkesa wlcht that they can run on topeeanbh6oklw6at:/zud r:.0 c(:+sy o;me )fa of water without breaking the surface tension. This is possible because the water, due to surface tension, exerts an upward force on the bottom of the bug's feet. Suppose that the maximum possible upward force on the feet of water bug A is F. Now suppose that water bug B is twice as big as bug A in every dimension. That is, bug B is twice as long, twice as wide, etc. What is the maximum upward force on the feet of bug B?

  A plastic block of dimensions 2.00 cm x 3.00 cm x 4.00 cm has a mass of 30.0o5++u,l*8gn)io)o pvy d yulo g. What is its densito 8,dl)g pl5o+o*uyov )iyu+n y?

  A liquid has a specific gravity of 0.357mdbri1-1yxi,7 + mh6/e-ttnf 8s1ysbc th 2o h. What is its density?

  A brick weighs 50.0 N, and measures 30.0fsp j29u7zhknu7) 5bj cm x 10.0 cm x 4.00 cm. What is the maus 9zkpj7j2)nub7fh5 ximum pressure it can exert on a horizontal surface?

  A person weighing 900 N is standing on snowshoes. Each snowshoe haskd 936ztngsm(.w86l 1j grnur area $2500 \; cm^{2}$. What is the pressure on the snow?

  How much pressure (absolute) must a submarine withstand at a depth of 120.0 m 0 vnk5mt,/uso inknv st 50um,/o the ocean?

  A circular window of 30 cm diameter in a submarine can withstandxls1v q/*v o o:m 72ol9gcmtn. a maximum force of nl*7gvmtq. o:1v ols/2x9mco $5.20 \times 10^{5} \; N$. What is the maximum depth in a lake to which the submarine can go without damaging the window?

  What is the gauge pressx,zn+zmxh6 pgrt0* q) ure if the absolute pressure is 300 kPa?

  What is the gauge pressure at a location 15.0 m below the vh 9 fwgm+e +yp,e 12n-t1mqsgsurface of sea? (The density of seawa-1vfqy sn ,e9h++mmt1wp2eggter is $1.03 \times 10^3 \; kg/m^{3}$.)

  What is the absolute pressure at a location 15.0 m below the surface of sevcoi bus+sol)222z 8z a? (The density o +8suzvo2lci s2b)2 ozf seawater is $1.03 \times 10^3 \; kg/m^{3}$.)

  A 500-N weight sits on the small piston of a hydraulic machine. T. /mepssp8vcp pogkz 4 4/8qe2he small piston has azppg44sqsp vc 8e pm/o.k 2/e8rea $2.0 \; cm^{2}$. If the large piston has area $40 \; cm^{2}$, how much weight can the large piston support?

  In a hydraulic garage liftp nbxjia54cqix* 5h*02qgm,fcy p x62 , the small piston has a radius of 5.0 cm and the large piston has a radius of 15 cm. What force must be appliedc64pqqac5b x,2mgxi hf*2i*xn 5 jp0y on the small piston in order to lift a car weighing 20,000 N on the large piston?

  A 13,000 N vehicle is to be lifted by a 25 cm diameter hydrsm8 w,:jz-cm waulic piston. What force needs to be applied z-w,w8m js:c mto a 5.0 cm diameter piston to accomplish this?

  The small piston of a hydraulic lift has a (f(bkue-iy, pdiameter of 8.0 cm, and its large piston has a diameter of 40 cm. Thi-pu ((eb y,fke lift raises a load of 15,000 N.
(a) Determine the force that must be applied to the small piston    $N$ (fill in numerical value only)
(b) Determine the pressure applied to the fluid in the lift    $\times 10^5 \; Pa$ (fill in numerical value only)

  A block of metal weighs 40 N in air and 30 N in 0ngo l16 ftw0owater. What is the buoyant force of the wf6t010wg oolnater?

  An object has a volum 1+jt6azad x .wysbhcn(;u u39e of $4.0 \; m^{3}$ and weighs 40,000 N. What will its weight be in water?

  A 4.00-kg cylinder of solid iro7 gc; ;axv ( 0kqat2xxi0fuo8tn is supported by a string while submerged in water. What it;iaf00 2q uxvt7(x8 kxc;aogs the tension in the string? (The specific gravity of iron is 7.86.)

  If the density of goldnscx(tyftk vj l24 -q6oi5:s8 is $19.3 \times 10^3 kg/m^{3}$, what buoyant force does a 0.60-kg gold crown experience when it is immersed in water?

  A crane lifts a steel submarine (density 2czmf8 wq2 mf)i rm3p,= $7.8 \times 10^3 \; kg/m^{3}$) of mass 20,000 kg. What is the tension in the lifting cable (1) when the submarine is submerged, and (2) when it is entirely out of the water?

  An object weighs 7.84 N when it is in air and 6.86 N when it is immerser s.xdh7d9vohj4k0 )nd in water. What.7 x0vhdd9j4h)sr kon is the specific gravity of the object?

  A container of water is placed on a scale, and the sc2c82- whsak:e p/nhps0xb+yr ale reads 120 g. Now a 20-g piece of copper (specific x/c-yksp8 r p2 :sewah2n+0 bhgravity = 8.9) is suspended from a thread and lowered into the water, not touching
the bottom of the container. What will the scale now read?

  A piece of aluminum with a mass of 1.b tvq a0)7c h-hpnm4z.0 kg and density of $2700 \; kg/m^{3}$ is suspended from a string and then completely immersed in a container of water. The density of water is $1000 \; kg/m^{3}$.
(a) Determine the volume of the piece of aluminum    $\times 10^{-4} \; m^3$ (fill in numerical value only)
(b) Determine the tension in the string after the metal is immersed in the container of water $N$ (fill in numerical value only)

  A cylindrical rod of length 12 cm and diameter 2.0 cm -fpuot3s;-qg will just barely float in w of3ut p;q-sg-ater. What is its mass?

  A rectangular box of negligible masbck*) skquv1c m 0q3;x nxo,:fs measures 5.0 m long, 1.0 m wide, and 0.50 m high. How many kilograms of mass can be loade ,30 bn c:f)ukqxmk;q s1ocvx*d onto the box before it sinks in a lake?

  A $1.0 m^{3}$ object floats in water with 20% of it above the waterline. What does the object weigh out of the water?

  An object floats with half its volume beneath the surface of the wat tt0 m-+qsv4drer. The weight tr-st+qd40m vof the displaced water is 2000 N. What is the weight of the object?

  A solid object floats in water with thre 7mt(3b2nrtdztf .* qgcw1v c)e-fourths of its volume beneath the surface. What is the object's densitb zg2qdmctf)7r1(tcnw * tv3 .y?

  A 200-N object floats with three-fourths of its volume beneath the surfacou6ey :ua0t 0ae of the water. What is the buoyant force on the o6a e0 tu:ayo0ubject?

  A polar bear of mass 200 kg stands on an ice floe 100 cm thicmj t sfi2rosidtdspasb* :8n:;n;(, 9k. What is the minimum area of the floe that will just support the 8ptso dtrs *; ,;fjss:imi9 b:dn(a2nbear in saltwater of specific gravity 1.03? The specific gravity of ice is 0.98.

  Liquid flows through a pipe of diameter 3.0 cmdkmw.g6qvy 0672zusl at 2.0 m/s. Find the flow rate.

  Liquid flows through a 4.0 cm diamw:2 ,x bo;nqnoeter pipe at 1.0 m/s. There is a 2.0 cm diameter restriction in the line. What is the velocity :2,onq owbn ;xin this restriction?

  Water flows at 12 m/s in a horizontal pipe with a pressure o5/n.mv n9edt3jv +uz 7u4 idilf $3.0 \times 10^4 \; N/m^2$. If the pipe widens to twice its original radius, what is the pressure in the wider section?

  How much pressure does it take for a pump to supply a drinking ffx2qt.3 gso c;ountain with 300 kPa, if .oqfxc2g s3t; the fountain is 30.0 m above the pump?

  A hole of radius 1.0 mm occurs in the bottom of a water storaj72rbj2iyqm) 1d p/sfiw c)7o ge tank that holds wate i2qro/fw2 c1pi j7s7y))jmdb r at a depth of 15 m. At what rate will water flow out of the hole?

  Water flows through a horizontal pipe of cross-secxn8 b eq9:1 bilw(jo2itional area $10.0 \; cm^{2}$ at a pressure of 0.250 atm. The flow rate is $1.00 \times 10^{-3} \; m^{3}/s$. At a valve, the effective cross-sectional area of the pipe is reduced to $5.00 \; cm^{2}$. What is the pressure at the valve?

  SAE No. 10 oil has a viscosity of 0.20 Pa-s wlyfm; , te,xmrt60q9. How long would it take to pour 4.0 L m0,fwtty9rx qe6; lm,of oil through a funnel with a neck 15 cm long and 2.0 cm in diameter? Assume the surface of the oil is kept 6 cm above the top of the neck, and neglect any drag effects due to the upper part of the funnel.

  Suppose that the build-u69w-tf+i6l *x yhze mpvor* (yp of fatty tissue on the wall of an artery decreased the radius by 10%. By how much would the pressure9yox*6 v6mrhty z(w i*e+-flp provided by the heart have to be increased to maintain a constant blood flow?

  Two narrow tubes are plaa-hjghl9iu.e lk p. /;ced in a pan of water. Tube A has twice the diameter of tube B. If water rises 24 cm in tube A, how high will it risehhg ll.-.jk/9ui pea; in tube B?

  The surface tension of water is 0.073 N/m.tl6 eqw39+j*dtwn q. e How high will water rise in a capillary tube of dia wt* q3qj+we6len dt.9meter 1.2 mm?

  232

  To what height would water at 0 degree Celsius ri+ czs9.gtf7 cise in a glass capillary tube with a diatccg9 .zsi7f+ meter of
0.50 mm?

  A narrow tube is placed vertically in a pan of water, and the water rises i/,ii /) 6y fh nqaa*bkml+gi9bn the tube to 4.0 cm above the level of the pan. The surface tension in the liquid is lowered to one-half its original value by the addition of some soap. What happens to tia6i) q,bl/ mb*niykg +9/ fhahe height of the liquid column in the tube?

  Consider a rectangular frame of length 0.120 m and width 0.600 m with uoc.fcx-hp-jv ;fr 7w:a6: jn a soap film formed within;x -jhfa pncu-j c rfo7.v:6:w its confined area. If the surface tension of soapy water is 0.0260 N/m, how much force does the soap film exert on the 0.600 m side?

  An adjustable rectangular fra3v ck46o:ispy 6efe:z-ho m za:k1k/sm 3i v4vme has length 12 cm and width 5 cm, and is built in such a o/ zm3y kk6k6o:vi3es:4s v -iv efh z:amc14pway that one of the longer sides can be moved without bursting the soap film contained in the frame. Soapy water has surface tension 0.026 N/m. How much work is required to move the adjustable long side so that the frame is 12 cm square?